Finding the Fourth Proportional to 10,108.92, 13,950.13 and 5,632.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108.92 : 13,950.13 = 5,632.58 : x
2. Step 2: Convert to fraction form
   10,108.92/13,950.13 = 5,632.58/x
3. Step 3: Cross multiply
   10,108.92x = 13,950.13 × 5,632.58
4. Step 4: Simplify right side
   10,108.92x = 78,575,142.76
5. Step 5: Solve for x
   x = 78,575,142.76/10,108.92
6. Step 6: Final answer
   x = 7,772.85